John Wagnon discusses the basics and benefits of Elliptic Curve Cryptography (ECC) in this episode of Lightboard Lessons.
Check out this article on DevCentral that explains ECC encryption in more detail: https://devcentral.f5.com/articles/real-cryptography-has-curves-making-the-case-for-ecc-20832

The complete YouTube playlist can be viewed here: https://goo.gl/mjyDev
This lesson explains the concept of the Elliptic Curve Cryptography(ECC), under the course, "Cryptography and Network Security for GATE Computer Science Engineering".
The lesson explains the questions on the following subtopics:
Elliptic Curve Cryptography(ECC)
ECC - Public key cryptosystem
ECC - Key Exchange
ECC - Encryption and Decryption
Elliptic curve
Some important terminology and concepts are also illustrated, for the better understanding of the subject.
For the entire course: https://goo.gl/aTMBNZ
For more lessons by Ansha Pk: https://goo.gl/2DX9Wn
Must watch for all the GATE/ESE/PSU Exams.
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Elliptic Curve Cryptography(ECC) - GATE Computer Science - Unacademy

Today we're going over Elliptic Curve Cryptography, particularly as it pertains to the Diffie-Hellman protocol. The ECC Digital Signing Algorithm was also discussed in a separate video concerning Bitcoin's cryptography.

Just what are elliptic curves and why use a graph shape in cryptography? Dr Mike Pound explains.
Mike's myriad Diffie-Hellman videos: https://www.youtube.com/playlist?list=PLzH6n4zXuckpoaxDKOOV26yhgoY2S-xYg
https://www.facebook.com/computerphile
https://twitter.com/computer_phile
This video was filmed and edited by Sean Riley.
Computer Science at the University of Nottingham: https://bit.ly/nottscomputer
Computerphile is a sister project to Brady Haran's Numberphile. More at http://www.bradyharan.com

Learn more advanced front-end and full-stack development at: https://www.fullstackacademy.com
Elliptic Curve Cryptography (ECC) is a type of public key cryptography that relies on the math of both elliptic curves as well as number theory. This technique can be used to create smaller, faster, and more efficient cryptographic keys. In this Elliptic Curve Cryptography tutorial, we build off of the Diffie-Hellman encryption scheme and show how we can change the Diffie-Hellman procedure with elliptic curve equations.
Watch this video to learn:
- The basics of Elliptic Curve Cryptography
- Why Elliptic Curve Cryptography is an important trend
- A comparison between Elliptic Curve Cryptography and the Diffie-Hellman Key Exchange

For slides, a problem set and more on learning cryptography, visit www.crypto-textbook.com
(Don't worry, I start in German but at minute 2:00 I am switiching to English for the remainder of the lecture :)

Elliptic Curve Cryptography (ECC) is hot. Far better scalable than traditional encryption, more and more data and networks are being protected using ECC. Not many people know the gory details of ECC though, which given its increasing prevalence is a very bad thing. In this presentation I will turn all members of the audience into ECC experts who will be able to implement the relevant algorithms and also audit existing implementations to find weaknesses or backdoors. Actually, I won't. To fully understand ECC to a point where you could use it in practice, you would need to spend years inside university lecture rooms to study number theory, geometry and software engineering. And then you can probably still be fooled by a backdoored implementation. What I will do, however, is explain the basics of ECC. I'll skip over the gory maths (it will help if you can add up, but that's about the extent of it) and explain how this funny thing referred to as "point addition on curves" can be used to exchange a secret code between two entities over a public connection. I will also explain how the infamous backdoor in Dual_EC_DRGB (a random number generator that uses the same kind of maths) worked. At the end of the presentation, you'll still not be able to find such backdoors yourselves and you probably realise you never will. But you will be able to understand articles about ECC a little better. And, hopefully, you will be convinced it is important that we educate more people to become ECC-experts.

Learn more advanced front-end and full-stack development at: https://www.fullstackacademy.com
Elliptic Curve Cryptography (ECC) is a type of public key cryptography that relies on the math of both elliptic curves as well as number theory. This technique can be used to create smaller, faster, and more efficient cryptographic keys. In this Elliptic Curve Cryptography tutorial, we introduce the mathematical structure behind this new algorithm.
Watch this video to learn:
- What Elliptic Curve Cryptography is
- The advantages of Elliptic Curve Cryptography vs. old algorithms
- An example of Elliptic Curve Cryptography

Crashcourse Playlist: https://www.youtube.com/playlist?list=PLjwO-iVuY1v1kxWtOsqKEuXDB4ijXSHIk
Book: Understanding Cryptography
https://www.amazon.com/Understanding-Cryptography-Textbook-Students-Practitioners/dp/3642041000/ref=as_li_ss_tl?ie=UTF8&qid=1541146284&sr=8-1&keywords=Understanding+Cryptography:+A+Textbook+for+Students+and+Practitioners&linkCode=sl1&tag=julianhosp-20&linkId=8e14aad9056003d3eefcacb57c2e0b73&language=en_US
----------
New to cryptocurrencies? You might want to read this book first!
http://cryptofit.community/cryptobook
If you liked the video, subscribe to my channel, give a "thumbs up" and share this video to make the world together #cryptofit :)
► Subscribe: https://www.youtube.com/channel/UCseN...
► Cryptocurrency Exchange: https://www.binance.com/?ref=11272739
► Hardware Wallet: http://www.julianhosp.com/hardwallet
► Ruben's Trinkgeld Adressen:
Bitcoin: 3MNWaot64Fr1gRGxv4YzHCKAcoYTLXKxbc
Litecoin: MTaGwg5EhKooonoVjDktroiLqQF6Rvn8uE
---------------
► Completely NEW? What is Blockchain, Bitcoin and Co? Get this book from me: https://www.amazon.com/Cryptocurrenci...
► Join our Facebook group:
https://www.facebook.com/groups/crypt...
► iTunes Podcast: https://itunes.apple.com/sg/podcast/t...
► My website: http://www.julianhosp.com
----------------
My name is Dr. Julian Hosp or just Julian.
My videos are about Bitcoin, Ethereum, Blockchain and crypto currencies in general, to avoid scam, rip-off and fraud especially in mining. I'm talking about how you can invest wisely and do it rationally and simply. My ultimate goal is to make people all around the world #CRYPTOFIT. I.E fit for this new wave of decentralization and blockchain. Have fun!
► Follow me here and stay in touch:
Facebook: www.facebook.com/julianhosp/
Twitter: https://twitter.com/julianhosp
Instagram: https://www.instagram.com/julianhosp/
Linkedin: https://www.linkedin.com/julianhosp

This is part 11 of the Blockchain tutorial explaining how the generate a public private key using Elliptic Curve.
In this video series different topics will be explained which will help you to understand blockchain.
Bitcoin released as open source software in 2009 is a cryptocurrency invented by Satoshi Nakamoto (unidentified person or group of persons).
After the introduction of Bitcoin many Bitcoin alternatives were created. These alternate cryptocurrencies are called Altcoins (Litecoin, Dodgecoin etc).
Bitcoin's underlying technology is called Blockchain.
The Blockchain is a distributed decentralized incorruptible database (ledger) that records blocks of digital information. Each block contains a timestamp and a link to a previous block.
Soon people realises that there many other use cases where the Blockchain technology can be applied and not just as a cryptocurrency application.
New Blockchain platforms were created based on the Blockchain technology, one of which is called Ethereum.
Ethereum focuses on running programming code, called smart contracts, on any decentralized application.
Using the new Blockchain platforms, Blockchain technology can be used in supply chain management, healthcare, real estate, identity management, voting, internet of things, etcetera, just to name a few.
Today there is a growing interest in Blockchain not only in the financial sector but also in other sectors.
Explaining how Blockchain works is not easy and for many the Blockchain technology remains an elusive concept.
This video series tries to explain Blockchain to a large audience but from the bottom up.
Keywords often used in Blockchain conversation will be explained.
Each Blockchain video is short and to the point.
It is recommended to watch each video sequentially as I may refer to certain Blockchain topics explained earlier.
Check out all my other Blockchain tutorial videos
https://goo.gl/aMTFHU
Subscribe to my YouTube channel
https://goo.gl/61NFzK
The presentation used in this video tutorial can be found at:
http://www.mobilefish.com/developer/blockchain/blockchain_quickguide_tutorial.html
The presentation used in this video tutorial can be found at:
http://www.mobilefish.com/developer/blockchain/blockchain_quickguide_tutorial.html
The python script used in the video:
https://www.mobilefish.com/download/cryptocurrency/bitcoin_ec_key_generation.py.txt
Cryptocurrency address generator and validator:
https://www.mobilefish.com/services/cryptocurrency/cryptocurrency.html
Desmos graph:
https://www.desmos.com/calculator/kkj2efqk5x
James D'Angelo, Bitcoin 101 Elliptic Curve Cryptography Part 4:
https://youtu.be/iB3HcPgm_FI
#mobilefish #blockchain #bitcoin #cryptocurrency #ethereum

The back door that may not be a back door... The suspicion about Dual_EC_DRBG - The Dual Elliptic Curve Deterministic Random Bit Generator - with Dr Mike Pound.
EXTRA BITS: https://youtu.be/XEmoD06_mZ0
Nothing up my sleeve Numbers: https://youtu.be/oJWwaQm-Exs
Elliptic Curves: https://youtu.be/NF1pwjL9-DE
https://www.facebook.com/computerphile
https://twitter.com/computer_phile
This video was filmed and edited by Sean Riley.
Computer Science at the University of Nottingham: https://bit.ly/nottscomputer
Computerphile is a sister project to Brady Haran's Numberphile. More at http://www.bradyharan.com

Crashcourse Playlist: https://www.youtube.com/playlist?list=PLjwO-iVuY1v1kxWtOsqKEuXDB4ijXSHIk
Book: Understanding Cryptography
https://www.amazon.com/Understanding-Cryptography-Textbook-Students-Practitioners/dp/3642041000/ref=as_li_ss_tl?ie=UTF8&qid=1541146284&sr=8-1&keywords=Understanding+Cryptography:+A+Textbook+for+Students+and+Practitioners&linkCode=sl1&tag=julianhosp-20&linkId=8e14aad9056003d3eefcacb57c2e0b73&language=en_US
----------
New to cryptocurrencies? You might want to read this book first!
http://cryptofit.community/cryptobook
If you liked the video, subscribe to my channel, give a "thumbs up" and share this video to make the world together #cryptofit :)
► Subscribe: https://www.youtube.com/channel/UCseN...
► Cryptocurrency Exchange: https://www.binance.com/?ref=11272739
► Hardware Wallet: http://www.julianhosp.com/hardwallet
► Ruben's Trinkgeld Adressen:
Bitcoin: 3MNWaot64Fr1gRGxv4YzHCKAcoYTLXKxbc
Litecoin: MTaGwg5EhKooonoVjDktroiLqQF6Rvn8uE
---------------
► Completely NEW? What is Blockchain, Bitcoin and Co? Get this book from me: https://www.amazon.com/Cryptocurrenci...
► Join our Facebook group:
https://www.facebook.com/groups/crypt...
► iTunes Podcast: https://itunes.apple.com/sg/podcast/t...
► My website: http://www.julianhosp.com
----------------
My name is Dr. Julian Hosp or just Julian.
My videos are about Bitcoin, Ethereum, Blockchain and crypto currencies in general, to avoid scam, rip-off and fraud especially in mining. I'm talking about how you can invest wisely and do it rationally and simply. My ultimate goal is to make people all around the world #CRYPTOFIT. I.E fit for this new wave of decentralization and blockchain. Have fun!
► Follow me here and stay in touch:
Facebook: www.facebook.com/julianhosp/
Twitter: https://twitter.com/julianhosp
Instagram: https://www.instagram.com/julianhosp/
Linkedin: https://www.linkedin.com/julianhosp

Video explaining the Elliptic Curve Digital Signature Algorithm in the article https://trustica.cz/2018/06/07/elliptic-curve-digital-signature-algorithm - using the elliptic curve in simple Weierstrass form y²=x³-2x+15 over GF(23). Once again, starring Alice and Bob. If you wanna see more, subscribe to our YouTube channel and follow us on Twitter https://twitter.com/trusticacz as well!

In this video I primarily do through the Elliptic Curve ElGamal crytposystem (Bob's variables/computations, Alice's variables/computations, what is sent, and how it is decrypted by Bob). In addition, I go over the basics of elliptic curves such as their advantages and how they are written.
Digital Signatures - ElGamal: https://www.youtube.com/watch?v=Jo3wHnIH4y832,rpd=4,rpg=7,rpgr=0,rpm=t,rpr=d,rps=7
Reference:
Trappe, W., & Washington, L. (2006). Introduction to cryptography: With coding theory (2nd ed.). Upper Saddle River, N.J.: Pearson Prentice Hall.

Bitcoin is a cryptocurrency that uses elliptic curves in the ECDSA. Since cryptosystems often require some form of arithmetic to encode and decode information we have a couple questions to ask; What are elliptic curves? And how can we do arithmetic on an elliptic curve?
________
Standards for Efficent Cryptography Group: http://www.secg.org
Elliptic Curve Addition Modulo p Applet: https://cdn.rawgit.com/andreacorbellini/ecc/920b29a/interactive/modk-add.html
________
Last video: http://bit.ly/2Ms3VCr
The CHALKboard: http://www.youtube.com/c/CHALKboard
Find the CHALKboard on Facebook: http://bit.ly/CHALKboard
_____________________
Interested in the person behind the camera? See what Nathan's up to on these platforms!
Instagram: http://bit.ly/INSTAnatedlock
Twitter: http://bit.ly/TWITTnatedlock
_____________________
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#CHALK #Bitcoin #EllipticCurves
_____________________
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Vídeo original: https://youtu.be/iB3HcPgm_FI
Welcome to part four in our series on Elliptic Curve Cryptography. I this episode we dive into the development of the public key. In just 44 lines of code, with no special functions or imports, we produce the elliptic curve public key for use in Bitcoin. Better still, we walk you through it line by line, constant by constant. Nothing makes the process clearer and easier to understand than seeing it in straight forward code. If you've been wondering about the secp256k1 (arguably the most important piece of code in Bitcoin), well then this is the video for you.
This is part 4 of our upcoming series on Elliptic Curves. Because of such strong requests, even though this is part 4, it is the first one we are releasing. In the next few weeks we will release the rest of the series. Enjoy.
Here's the link to our Python code (Python 2.7.6):
https://github.com/wobine/blackboard1...
Here's the private key and the link to the public address that we use. Do you know why it is famous?
Private Key : A0DC65FFCA799873CBEA0AC274015B9526505DAAAED385155425F7337704883E
Public Address on Blockchain.info
https://blockchain.info/address/1JryT...
Here's the private key we use at the end:
42F615A574E9CEB29E1D5BD0FDE55553775A6AF0663D569D0A2E45902E4339DB
Public Address on Blockchain.info
https://blockchain.info/address/16iTd...
Welcome to WBN's Bitcoin 101 Blackboard Series -- a full beginner to expert course in bitcoin. Please like, subscribe, comment or even drop a little jangly in our bitcoin tip jar 1javsf8GNsudLaDue3dXkKzjtGM8NagQe. Thanks, WBN

Nick Gonella, officer of White Hat, talks about Elliptic Curve Cryptography (ECC), a cutting edge encryption method that is taking the cryptography world by storm. Learn the machinery behind this new technology and how it's being used today.
Recommended read on ECC: https://blog.cloudflare.com/a-relatively-easy-to-understand-primer-on-elliptic-curve-cryptography/

Vídeo original: https://youtu.be/U2bw_N6kQL8
There is nothing more magical in Bitcoin, or all of cryptography than digital signatures. And the most magical step of all is the verification. This is the step we focus on in this video, generating the entire process in just 50 lines of code (no imports or special function calls!) and watching as the Private Key falls out of the math entirely! So beautiful. The receiver is left with proof of the sender, confirmation of the message and no way of retrieving the senders private key. This is magic indeed.
Here's the link to the Python code:
https://github.com/wobine/blackboard1...
Welcome to WBN's Bitcoin 101 Blackboard Series -- a full beginner to expert course in bitcoin. Please like, subscribe, comment or even drop a little jangly in our bitcoin tip jar 1javsf8GNsudLaDue3dXkKzjtGM8NagQe. Thanks, WBN

"Lenstra's elliptic curve factorization method," given by Leo Lai on 27th January 2016 as a guest speaker in the Churchill Computer Science Talks Series (http://talks.cam.ac.uk/show/index/63165).
Leo's talk addresses something incredibly important to computer science: computational number theory. Computational number theory has deep links to cryptography and security, and one of the most fundamental problems is the factorization of huge numbers, the subject of this talk.
Abstract:
Integer factorization is an important problem in computational number theory with many applications in cryptography. Elliptic curves, on the other hands, are mathematical objects whose study predates the notion of computation by more than a century. In 1987, Lenstra described a new factoring algorithm using elliptic curves, which is still one of the fastest special purpose factorization algorithms invented so far. Conversely, the desire to rigorously analyze this algorithm has produced new results in number theory. This talk will describe his algorithm. No knowledge beyond basic number theory is required.

by Ron Garret
Bay Area Lisp and Scheme Meetup
http://balisp.org/
Sat 30 Apr 2016
Hacker Dojo
Mountain View, CA
Abstract
This will be a beginner’s introduction to elliptic curve cryptography using Lisp as a pedagogical tool. Cryptography generally relies heavily on modular arithmetic. Lisp’s ability to change the language syntax and define generic functions provides opportunities to implement modular arithmetic operations much more cleanly than other languages.
Video notes
The audio for the introduction and for the questions from the audience is hard to hear. I will try to improve on that in the next batch of talks. — Arthur